In a large bowl, toss the strawberries with the orange juice. Pour the mixture onto a rimmed baking sheet and spread out into one layer. Freeze until solid, about 2 hours.

Break up the frozen berries so you can fit the pieces into a food processor fitted with the steel blade. Add the honey and yogurt and puree the mixture, stopping a few times to scrape down the sides. This might take 4-5 minutes. If the mixture is not turning creamy, allow it to sit in the food processor for a few minutes and then try blending again.

Serve immediately.

Store leftovers in a covered container in the freezer. it will eventually freeze solid, so to achieve a creamy consistency again, you'll have to thaw it for a few minutes and then break it up into pieces and reblend in the food processor.